List of top Questions asked in BITSAT

$\frac{\cos \, x}{\cos \, x -2y} = \lambda \, \Rightarrow \, \tan \, x - y$ is equal to

The coefficient of $x^{24}$ in the expansion of $(1 + x^2)^{12} (1 + x^{12}) (1 + x^{24})$ is

The roots of $ (x- a) (x - a-1) + (x - a -1) (x - a - 2) + (x - a) (x - a - 2) = 0 , a \in R$ are always

If $x, y, z$ are all positive and are the $p^{th}, q^{th}$ and $r^{th}$ terms of a geometric progression respectively, then the value of the determinant $\begin{vmatrix} \log x & p & 1 \\ \log y & q & 1 \\ \log z & r & 1 \end{vmatrix} = 0 $ equals

Let $f(x) = x^2 + ax + b,$ where $a, b \in R$. If $ f(x) = 0$ has all its roots imaginary, then the roots of $ f(x) + f' (x) + f" (x) = 0$ are

If \(\begin{vmatrix}1&-1&x\\1&x&1\\x&-1&1\end{vmatrix}\) has no inverse, then the real value of \(x\) is

Aluminium reacts with $NaOH$ and forms compound �$X$�. If the coordination number of aluminium in �$X$ � is $6$, the correct formula of $X$ is

When a wave traverses a medium the displacement of a particle located at $x$ at a time is given by $y = a \sin (bt - cx)$, where $a$, and $b$ are constants of the wave, which of the following is a quantity with dimensions?

A bar magnet is $10 \,cm$ long is kept with its north ($N$)-pole pointing north. A neutral point is formed at a distance of $15 \,cm$ from each pole: Given the horizontal component of earth's field is $0.4$ Gauss, the pole strength of the magnet is

A wire of length $l$ is bent into a circular loop of radius $R$ and carries a current $I$.The magnetic field at the centre of the $B$. The same wire is now bent into a double loop of equal radii. If both loops carry the same current $I$ and it is in the same direction, the magnetic field at the centre of the double loop will be -

If the ratio of lengths, radii and Young's modulus of steel and brass wires shown in the figure are $a, b$ and $c$ respectively, the ratio between' the increase in lengths of brass and steel wires would be

Two point charges $-q$ and $+ q$ are located at point's $(0, 0, - a)$ and, $(0, 0, a)$ respectively. The electric potential at a point $(0, 9, z)$, where $z > a$ is

In Gattermann reaction, a diazonium group is replaced by using $\underline{Y} \underline{X}$and $\underline{Y}$ are

A clock pendulum made of invar has a period of $0.5 \, s$, at $20^{\circ}C$. If the clock is used in a climate where the temperature averages to $30^{\circ}C $, how much time does the clock lose in each oscillation? (For invar, $a = 9 \times 10^{-7} /^{\circ} C, g$ = constant)

A body of mass $5 \,kg$ makes an elastic collision with another body at rest and continues to move in the original direction after collision with a velocity equal to $\frac{1}{10}$ th of its original velocity. Then the mass of the second body is

$\cos \, A \, \cos \, 2A \, \cos \, 4A ... \cos \, 2^{n -1} A$ equals

For $| x | < 1$, the constant term in the expansion of $\frac{1}{x -1^2 x - 2}$ is

The locus of $z$ satisfying the inequality $\frac{z + 2i}{2z + i} < 1$ , where $z = x + iy$, is

The period of $\sin^4 \, x + \cos^4 \, x$ is

How many '$mL$' of perhydrol is required to produce sufficient oxygen which can be used to completely convert $2L$ of $SO_2$ gas to $SO_3$ gas?

$1.5 \,g$ of $CdCl_2$ was found to contain $0.9 \,g$ of $Cd$. Calculate the atomic weight of $Cd$.

Aluminium reacts with $NaOH$ and forms compound '$X$'. If the coordination number of aluminium in '$X$' is $6$, the correct formula of $X$ is

pH of a buffer solution decreases by $0.02 \,$ units when $0.12\, g$ of acetic acid is added to $250\, mL$ of a buffer solution of acetic acid and potassium acetate at $ 27^{\circ}C$. The buffer capacity of the solution is

What are $X$ and $Y$ in the following reaction sequence? $C_2H_5OH \xrightarrow{Cl_2}(X) \xrightarrow{Cl_2} Y$.

What are $ABC$ in the following reactions ? (I) $(CH_2CO_2)_2Ca \xrightarrow{\Delta} A$ (II) $CH_3CO_2H \xrightarrow[\text{Red}]{HI} B$ (III) $2CH_3CO_2 \xrightarrow{P_4O_{10}} C$